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Finding the Fourth Proportional to 24,931.80, 37,387.80 and 8,287.20

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Solution

The fourth proportional to 24,931.80, 37,387.80 and 8,287.20 is: 12,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.80 : 37,387.80 = 8,287.20 : x
  2. Step 2: Convert to fraction form
    24,931.80/37,387.80 = 8,287.20/x
  3. Step 3: Cross multiply
    24,931.80x = 37,387.80 × 8,287.20
  4. Step 4: Simplify right side
    24,931.80x = 309,840,176.16
  5. Step 5: Solve for x
    x = 309,840,176.16/24,931.80
  6. Step 6: Final answer
    x = 12,427.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.